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Finding the Fourth Proportional to 7,075.14, 9,756.09 and 4,421.58

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Solution

The fourth proportional to 7,075.14, 9,756.09 and 4,421.58 is: 6,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.14 : 9,756.09 = 4,421.58 : x
  2. Step 2: Convert to fraction form
    7,075.14/9,756.09 = 4,421.58/x
  3. Step 3: Cross multiply
    7,075.14x = 9,756.09 × 4,421.58
  4. Step 4: Simplify right side
    7,075.14x = 43,137,332.42
  5. Step 5: Solve for x
    x = 43,137,332.42/7,075.14
  6. Step 6: Final answer
    x = 6,097.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.